Question

Romell receives five points for each correct answer on a

test and loses two point for each incorrect

answer.

a. Write an equation showing that Reggie received 30 points.

6x = 30

b. Write an equation showing that Reggie answered all 35 questions on the

test.

Answer 1

5x - 2y = 30

x + y = 35

Explanation:

Number of correct answers = x

Number of incorrect answers = y

Points won per correct answer = 5

Points lost per incorrect answer = 2

If Reggie received 30 points :

Required equation :

(points won per correct answer * number of correct answers) + (points lost per incorrect answer * number of incorrect answers)

5x + (-2y) = 30

5x - 2y = 30

Equation showing that Reggie answer all 35 questions :

Number of correct answers + number of incorrect answers = 35

x + y = 35